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in Mathematics by (71.3k points)

If x + y + z = xyz, Prove that 2x/1 - x2 + 2y/1 - y2 + 2z/1 - z2 = 2x/1 -x2 . 2y/1-y2 . 2z/1 - z2.

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Best answer

Put x = tanA, y = tanB and z = tanC, 

so that we have 

tanA + tanB + tanC = tanA tanB tanC 

⇒ A + B + C = nπ, where n ∈ Ι 

Hence 

L.H.S

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